Dergiler / Mathematical Sciences and Applications E-Notes / 2019 / Cilt: 7 - Sayı: 1

Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy

Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy

G. R. Mohtashami Borzadaran, M. Sanei TABASS

Sayfa
113–119
DOI
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Abstract

Alencar and Francisco (1998) proved the absolute minimum and maximum value of a given probabilitymass function is related to the limit of the Renyi entropy.In this paper, we have determined the minimum or maximum of some probability mass function (PMF)using this point. In the following, it will be shown that the absolute minimum value of a given PMF isrelated to the limit of the Generalized Renyi entropy, as α → −∞ and β is fixed or (β → −∞ and α isfixed).The absolute maximum value of a PMF is related to the limit of the Generalized Renyi entropy, asα → ∞ and β is fixed or (β → ∞ and α is fixed).